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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 165 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.Use (a + b)² = a² + 2ab + b² to find 49².
  2. 2.Solve: y/4 + y/2 = 6. What is y?
  3. 3.What is the value of (1/9)⁻¹? =
  4. 4.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
  5. 5.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
  6. 6.Solve: m/4 + m/6 = 40. What is m?
  7. 7.What is √5476? =
  8. 8.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  9. 9.A square garden has an area of 1681 square m. How long is each side (in m)?
  10. 10.What is the value of (1/3)⁻¹? =
  11. 11.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
  12. 12.A town has 22500 people. The population grows by 12% every year. What will the population be after 1 year?
  13. 13.A scooter is worth ₹48800. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  14. 14.Use a² − b² = (a + b)(a − b) to find 20² − 2².
  15. 15.What amount will ₹59300 grow to in 1 year at 12% per year compound interest (in ₹)?
  16. 16.How many whole numbers lie between 22² and 23²?
  17. 17.Write 4.5 × 10⁻¹ as a decimal. =
  18. 18.Find the compound interest on ₹39300 at 20% per year for 1 year, compounded every year (in ₹).
  19. 19.Write 3¹³ ÷ 3⁸ as a single power 3ⁿ. What is n?
  20. 20.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  22. 22.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  23. 23.Solve: t/2 + t/3 = 5. What is t?
  24. 24.Write 5.5 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 2³ × 2⁻¹? =
  26. 26.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
  27. 27.Write 3.8 × 10⁻² as a decimal. =
  28. 28.What is the value of 4⁻³ (as a fraction)? =
  29. 29.What is the smallest whole number by which 396 must be divided to get a perfect square?
  30. 30.Solve: 7n + 1 = n + 73. What is n?
  31. 31.What is 39²? =
  32. 32.A father is 51 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  33. 33.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
  34. 34.What is the value of 7⁻¹ (as a fraction)? =
  35. 35.A cuboid is 7 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  36. 36.How many whole numbers lie between 31² and 32²?
  37. 37.Solve: 4(p − 1) = 2p + 16. What is p?
  38. 38.What is the value of 2⁶? =
  39. 39.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
  40. 40.How many whole numbers lie between 26² and 27²?

Answer key

  1. 2401
  2. 8
  3. 9
  4. 3
  5. 81
  6. 96
  7. 74
  8. 5
  9. 41
  10. 3
  11. 18522
  12. 25200
  13. 27450
  14. 396
  15. 66416
  16. 44
  17. 0.45
  18. 7860
  19. 5
  20. 36
  21. 16
  22. 6
  23. 6
  24. 0.55
  25. 4
  26. 10
  27. 0.038
  28. 1/64
  29. 11
  30. 12
  31. 1521
  32. 9
  33. 10
  34. 1/7
  35. 382
  36. 62
  37. 10
  38. 64
  39. 6
  40. 52

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